Crossing numbers of join of a graph on six vertices with a path and a cycle
نویسندگان
چکیده
The crossing number of a graph G is the minimum number of crossings of its edges among the drawings of G in the plane and is denoted by cr(G). Zarankiewicz conjectured that the crossing number of the complete bipartite graph Km,n equals . This conjecture has been verified by Kleitman for min {m, n} ≤ 6. Using this result, we give the exact values of crossing number of the join of a certain graph G on six vertices with a path and a cycle on n vertices.
منابع مشابه
Minimum Crossings in Join of Graphs with Paths and Cycles
The crossing number cr(G) of a graph G is the minimal number of crossings over all drawings of G in the plane. Only few results concerning crossing numbers of graphs obtained as join product of two graphs are known. There was collected the exact values of crossing numbers for join of all graphs of at most four vertices and of several graphs of order five with paths and cycles. We extend these r...
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تاریخ انتشار 2016